(4k²+2k+1)+(-4k²+2k-1)

To simplify the expression, you can combine like terms.

Given: (4k² + 2k + 1) + (-4k² + 2k - 1)

Add all the terms with the same variable and exponent:

4k² - 4k² + 2k + 2k + 1 - 1

Notice that the 4k² and -4k² terms cancel each other out, leaving us with:

4k + 2k + 1 - 1

Combine the remaining terms:

(4k + 2k) + (1 - 1)

6k + 0

The final simplified expression is:

6k